This review is dedicated to recent results on the 2d parabolic-elliptic Patlak-Keller-Segel model, and on its variant in higher dimensions where the diffusion is of critical porous medium type. Both of these models have a critical mass
@article{SLSEDP_2011-2012____A8_0, author = {Adrien Blanchet}, title = {On the parabolic-elliptic {Patlak-Keller-Segel} system in dimension~2 and higher}, journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications}, note = {talk:8}, pages = {1--26}, publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {2011-2012}, doi = {10.5802/slsedp.6}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.6/} }
TY - JOUR AU - Adrien Blanchet TI - On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:8 PY - 2011-2012 SP - 1 EP - 26 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.6/ DO - 10.5802/slsedp.6 LA - en ID - SLSEDP_2011-2012____A8_0 ER -
%0 Journal Article %A Adrien Blanchet %T On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher %J Séminaire Laurent Schwartz — EDP et applications %Z talk:8 %D 2011-2012 %P 1-26 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.6/ %R 10.5802/slsedp.6 %G en %F SLSEDP_2011-2012____A8_0
Adrien Blanchet. On the parabolic-elliptic Patlak-Keller-Segel system in dimension 2 and higher. Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exposé no. 8, 26 p. doi : 10.5802/slsedp.6. https://proceedings.centre-mersenne.org/articles/10.5802/slsedp.6/
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